Antenna pattern of ILS localizer on the surface with transverse-slope

This article presents a generalization of the model localizer antenna that is given in an previously published article (Voytovich N.I., Zhdanov B.V., Zotov A.V. Simulation of the Fwo-Trequency Instrument Landing System, 2013). It's assumed that the antenna array of radiating antenna elements LOC is horizontal and the underlying surface in the essential for the reflection of radio waves field (in the area of the Fresnel zone on the underlying surface) represents a part of a plane with a transverse-slope relative to the direction of the axis of the runway. Radiant system has no phase center due to the lack of axial symmetry of the problem mentioned. Regularities in the behavior of the amplitude and phase of the antenna patterns for course and clearance signals: “carrier plus sideband” and “suppressed carrier sideband only” are founded.